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from manimlib.imports import *
class tangent(ThreeDScene):
def construct(self):
axes = ThreeDAxes()
self.set_camera_orientation(phi = 125*DEGREES, theta = 135*DEGREES)
h = ParametricFunction(
lambda t: np.array([
4*(t**3) + 5,
t**2 + 2*(t**4),
-2*np.log(2*t)
]), t_min = -3, t_max = 1.18
).shift(5*LEFT)
tgtR = Line((4,3,-2*np.log(2)), (19.5, 16, -4.772588), color=YELLOW)
tgtL =Line((4,3,-2*np.log(2)), (-11.5, -10, 2), color=YELLOW)
dot = Dot((4,3,-2*np.log(2)), color=RED, radius=0.08)
self.play(FadeIn(axes),FadeIn(h), FadeIn(dot))
self.begin_ambient_camera_rotation(rate=0.4)
self.wait(2)
self.play(FadeIn(tgtL), FadeIn(tgtR))
self.wait(5)
self.play(FadeOut(axes), FadeOut(h), FadeOut(dot), FadeOut(tgtL), FadeOut(tgtR))
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